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Finding the Fourth Proportional to 33,864.74, 46,735.03 and 20,435.77

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Solution

The fourth proportional to 33,864.74, 46,735.03 and 20,435.77 is: 28,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864.74 : 46,735.03 = 20,435.77 : x
  2. Step 2: Convert to fraction form
    33,864.74/46,735.03 = 20,435.77/x
  3. Step 3: Cross multiply
    33,864.74x = 46,735.03 × 20,435.77
  4. Step 4: Simplify right side
    33,864.74x = 955,066,324.02
  5. Step 5: Solve for x
    x = 955,066,324.02/33,864.74
  6. Step 6: Final answer
    x = 28,202.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.